Inicio
/
Física
/
Multiple Choice 1 Point 1. Select Mars. Click OK. 2. Set the Semi-major Axis for Mars to 1.52 AU. 3. Observe How Long Mars Takes to

Problemas

Multiple Choice 1 point 1. Select Mars. Click OK. 2. Set the semi-major axis for Mars to 1.52 AU. 3. Observe how long Mars takes to complete one full orbit. 4. Evaluate the graph and the calculation for orbital period (p). 5. What is the orbital period of Mars when its semi-major axis is 1.52 AU? 1.88 years 1.52 years 1 year 3.54 years

Roztwór

Vanessa maestro · Tutor durante 5 años
Weryfikacja ekspertów
4.6 (292 Votos)

Respuesta

The orbital period of Mars when its semi-major axis is 1.52 AU is approximately 3.54 years.

Explicación

## Step 1The problem involves the calculation of the orbital period of Mars when its semi-major axis is 1.52 AU. The Kepler's Third Law of Planetary Motion is used to solve this problem. The law states that the square of the orbital period (p) of a planet is directly proportional to the cube of the semi-major axis (a) of its orbit. This can be mathematically represented as:### ## Step 2In this problem, the semi-major axis (a) is given as 1.52 AU. We need to find the orbital period (p). We can rearrange the Kepler's Third Law to solve for p:### ## Step 3Substitute the given value of a into the formula:### \(p = \sqrt{(1.52)^3}\)## Step 4Calculate the square root of the cube of 1.52. The result is approximately 3.54 years.